Find the solution set of the inequality 12-6x>24
Mathematics · College · Mon Jan 18 2021
Answered on
Given the inequality:
12 - 6x > 24
Determine the solution set of the inequality.
Solution:
In order to determine the solution of the inequality, we simply needed to transpose -6x and 24 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
12 - 6x > 24
12 - 24 > 6x
-12 > 6x
Divide both sides by 6 in order to determine the value of x.
-12/6 > 6x/6
-2 > x
Final answer:
-2 > x